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Simplifying 0.5(3z + 7) + 17.7 = 0.7(3z + -4) Reorder the terms: 0.5(7 + 3z) + 17.7 = 0.7(3z + -4) (7 * 0.5 + 3z * 0.5) + 17.7 = 0.7(3z + -4) (3.5 + 1.5z) + 17.7 = 0.7(3z + -4) Reorder the terms: 3.5 + 17.7 + 1.5z = 0.7(3z + -4) Combine like terms: 3.5 + 17.7 = 21.2 21.2 + 1.5z = 0.7(3z + -4) Reorder the terms: 21.2 + 1.5z = 0.7(-4 + 3z) 21.2 + 1.5z = (-4 * 0.7 + 3z * 0.7) 21.2 + 1.5z = (-2.8 + 2.1z) Solving 21.2 + 1.5z = -2.8 + 2.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.1z' to each side of the equation. 21.2 + 1.5z + -2.1z = -2.8 + 2.1z + -2.1z Combine like terms: 1.5z + -2.1z = -0.6z 21.2 + -0.6z = -2.8 + 2.1z + -2.1z Combine like terms: 2.1z + -2.1z = 0.0 21.2 + -0.6z = -2.8 + 0.0 21.2 + -0.6z = -2.8 Add '-21.2' to each side of the equation. 21.2 + -21.2 + -0.6z = -2.8 + -21.2 Combine like terms: 21.2 + -21.2 = 0.0 0.0 + -0.6z = -2.8 + -21.2 -0.6z = -2.8 + -21.2 Combine like terms: -2.8 + -21.2 = -24 -0.6z = -24 Divide each side by '-0.6'. z = 40 Simplifying z = 40
| -0.72m=-2 | | 73=9h+1 | | A+B=4X-2 | | 14-3p+1=4+p | | 3.33=-.5 | | 185=35-x | | 750+0.2=1050 | | A+B=4X-8 | | (5.3x+8.2y)+(13.3y-4.1x)= | | 0=8n+7n | | 5x-7.1111=64 | | 3x+7x-3.5=2 | | x-10+2x+30=180 | | 25x-10+58=180 | | 6(5x+5)+4x= | | y-4x=-14 | | 3/8*16= | | 2(d+1)=-38 | | 12n+7=7n+15 | | 6b=2b+48 | | 35=4t+11 | | -5(x+8)-44=4-43 | | 5(2y)-y=64 | | 84*2= | | 3/5*-4=2/5 | | 7.25f-24.5= | | ln(x+1)-ln(x+7)+ln(x+3)=2 | | X^4-1.96x^2+0.75=0 | | 5.8x-3=3.2x+41 | | 12(5x+11)+8x-16= | | 6/14=x/21=y/28 | | (d-)2/5=30 |