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Simplifying 3(5z + -1) + -4(z + 8) = 6(x + 1) Reorder the terms: 3(-1 + 5z) + -4(z + 8) = 6(x + 1) (-1 * 3 + 5z * 3) + -4(z + 8) = 6(x + 1) (-3 + 15z) + -4(z + 8) = 6(x + 1) Reorder the terms: -3 + 15z + -4(8 + z) = 6(x + 1) -3 + 15z + (8 * -4 + z * -4) = 6(x + 1) -3 + 15z + (-32 + -4z) = 6(x + 1) Reorder the terms: -3 + -32 + 15z + -4z = 6(x + 1) Combine like terms: -3 + -32 = -35 -35 + 15z + -4z = 6(x + 1) Combine like terms: 15z + -4z = 11z -35 + 11z = 6(x + 1) Reorder the terms: -35 + 11z = 6(1 + x) -35 + 11z = (1 * 6 + x * 6) -35 + 11z = (6 + 6x) Solving -35 + 11z = 6 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 11z = 6 + 35 + 6x Combine like terms: -35 + 35 = 0 0 + 11z = 6 + 35 + 6x 11z = 6 + 35 + 6x Combine like terms: 6 + 35 = 41 11z = 41 + 6x Divide each side by '11'. z = 3.727272727 + 0.5454545455x Simplifying z = 3.727272727 + 0.5454545455x
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