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Simplifying 6[z + -1(10z + 86) + 5] = 2(z + 9) Reorder the terms: 6[z + -1(86 + 10z) + 5] = 2(z + 9) 6[z + (86 * -1 + 10z * -1) + 5] = 2(z + 9) 6[z + (-86 + -10z) + 5] = 2(z + 9) Reorder the terms: 6[-86 + 5 + z + -10z] = 2(z + 9) Combine like terms: -86 + 5 = -81 6[-81 + z + -10z] = 2(z + 9) Combine like terms: z + -10z = -9z 6[-81 + -9z] = 2(z + 9) [-81 * 6 + -9z * 6] = 2(z + 9) [-486 + -54z] = 2(z + 9) Reorder the terms: -486 + -54z = 2(9 + z) -486 + -54z = (9 * 2 + z * 2) -486 + -54z = (18 + 2z) Solving -486 + -54z = 18 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -486 + -54z + -2z = 18 + 2z + -2z Combine like terms: -54z + -2z = -56z -486 + -56z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 -486 + -56z = 18 + 0 -486 + -56z = 18 Add '486' to each side of the equation. -486 + 486 + -56z = 18 + 486 Combine like terms: -486 + 486 = 0 0 + -56z = 18 + 486 -56z = 18 + 486 Combine like terms: 18 + 486 = 504 -56z = 504 Divide each side by '-56'. z = -9 Simplifying z = -9
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