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Simplifying 6[z + -1(15z + 2)] = 2 + (9z + 7) Reorder the terms: 6[z + -1(2 + 15z)] = 2 + (9z + 7) 6[z + (2 * -1 + 15z * -1)] = 2 + (9z + 7) 6[z + (-2 + -15z)] = 2 + (9z + 7) Reorder the terms: 6[-2 + z + -15z] = 2 + (9z + 7) Combine like terms: z + -15z = -14z 6[-2 + -14z] = 2 + (9z + 7) [-2 * 6 + -14z * 6] = 2 + (9z + 7) [-12 + -84z] = 2 + (9z + 7) Reorder the terms: -12 + -84z = 2 + (7 + 9z) Remove parenthesis around (7 + 9z) -12 + -84z = 2 + 7 + 9z Combine like terms: 2 + 7 = 9 -12 + -84z = 9 + 9z Solving -12 + -84z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + -84z + -9z = 9 + 9z + -9z Combine like terms: -84z + -9z = -93z -12 + -93z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + -93z = 9 + 0 -12 + -93z = 9 Add '12' to each side of the equation. -12 + 12 + -93z = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -93z = 9 + 12 -93z = 9 + 12 Combine like terms: 9 + 12 = 21 -93z = 21 Divide each side by '-93'. z = -0.2258064516 Simplifying z = -0.2258064516
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