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Simplifying 9(7b + c + -3a) + -5(a + -2c + 2b) = 0 Reorder the terms: 9(-3a + 7b + c) + -5(a + -2c + 2b) = 0 (-3a * 9 + 7b * 9 + c * 9) + -5(a + -2c + 2b) = 0 (-27a + 63b + 9c) + -5(a + -2c + 2b) = 0 Reorder the terms: -27a + 63b + 9c + -5(a + 2b + -2c) = 0 -27a + 63b + 9c + (a * -5 + 2b * -5 + -2c * -5) = 0 -27a + 63b + 9c + (-5a + -10b + 10c) = 0 Reorder the terms: -27a + -5a + 63b + -10b + 9c + 10c = 0 Combine like terms: -27a + -5a = -32a -32a + 63b + -10b + 9c + 10c = 0 Combine like terms: 63b + -10b = 53b -32a + 53b + 9c + 10c = 0 Combine like terms: 9c + 10c = 19c -32a + 53b + 19c = 0 Solving -32a + 53b + 19c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-53b' to each side of the equation. -32a + 53b + -53b + 19c = 0 + -53b Combine like terms: 53b + -53b = 0 -32a + 0 + 19c = 0 + -53b -32a + 19c = 0 + -53b Remove the zero: -32a + 19c = -53b Add '-19c' to each side of the equation. -32a + 19c + -19c = -53b + -19c Combine like terms: 19c + -19c = 0 -32a + 0 = -53b + -19c -32a = -53b + -19c Divide each side by '-32'. a = 1.65625b + 0.59375c Simplifying a = 1.65625b + 0.59375c
| 7-3x=2x+3 | | 3x+6=5x+6 | | (2.4-13x)=0 | | c^4-625= | | .1(300)=n | | 5(2j-4)=3(4j+6) | | .1n=25+.05n-200 | | (k-9)+(2k+8)= | | t^2-11t+18= | | .1n=25(.05n)+200 | | -1.3=n-(6.12) | | -5(6x-15)=15 | | y/20=80 | | -5(6x-15)=16 | | 39-5x=4x+23 | | 6x+5=x-15 | | -5(6x-15)=17 | | (-11)(-8)(6)(-10)=26 | | lnx+lnx+1=6 | | -5(6x-15)=18 | | .1n=25+.05(n-200) | | -5(6x-15)=20 | | t-87/2=6 | | x(2x+1)(x-4)=0 | | -5(6x-15)=21 | | -5(6x-15)=22 | | -5(6x-15)=25 | | -5(6x-15)=31 | | 7=v-53/5 | | -5(6x-15)=30 | | -5(6x-15)=28 | | .1n=25+.05n |