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Simplifying 3(2q + 5) = 6(7 + 4q) Reorder the terms: 3(5 + 2q) = 6(7 + 4q) (5 * 3 + 2q * 3) = 6(7 + 4q) (15 + 6q) = 6(7 + 4q) 15 + 6q = (7 * 6 + 4q * 6) 15 + 6q = (42 + 24q) Solving 15 + 6q = 42 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. 15 + 6q + -24q = 42 + 24q + -24q Combine like terms: 6q + -24q = -18q 15 + -18q = 42 + 24q + -24q Combine like terms: 24q + -24q = 0 15 + -18q = 42 + 0 15 + -18q = 42 Add '-15' to each side of the equation. 15 + -15 + -18q = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -18q = 42 + -15 -18q = 42 + -15 Combine like terms: 42 + -15 = 27 -18q = 27 Divide each side by '-18'. q = -1.5 Simplifying q = -1.5
| 10(3k+1)=2(9k+11) | | 6(5-3y)=4(25+2y) | | 9(d+2)=2(d+9) | | 3(2x+5)=5(x+1) | | 3(6+2m)=4(3m+12) | | 6(e+8)-3=9 | | 5(3y+12)=6(5y+20) | | 6(3x-5)=7(3x-2) | | -2(1-4x)=13x+5(1-x) | | 8(5-h)=2(2h-4) | | 9(q-2)=3(q-12) | | 4(3t-7)=-52 | | 6(d-8)=3(14-d) | | -2(3v-4)=38 | | 5(20+p)=2(30+p) | | -2(4u-5)=34 | | 7(k-7)=2(11+k) | | 8(6n-4)-20=-4 | | 8(m-3)=4(m-1) | | -6(4p+4)=24 | | 6(2-d)=9(d-4) | | 5(h+2)=3(h-1) | | 3(m+6)=6(m-1) | | 5(2p-4)=40 | | 8(p-1)=3(p+3) | | 5(m+1)=7(m-1) | | 3(3j-4)=15 | | 2(4u+2)=52 | | 3x+45=6x-12 | | 11m-22=0 | | 47-5x=4x+15 | | 3t-21=12 |