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Simplifying -6(z + 2) + -1(1 + 5z) = -12z Reorder the terms: -6(2 + z) + -1(1 + 5z) = -12z (2 * -6 + z * -6) + -1(1 + 5z) = -12z (-12 + -6z) + -1(1 + 5z) = -12z -12 + -6z + (1 * -1 + 5z * -1) = -12z -12 + -6z + (-1 + -5z) = -12z Reorder the terms: -12 + -1 + -6z + -5z = -12z Combine like terms: -12 + -1 = -13 -13 + -6z + -5z = -12z Combine like terms: -6z + -5z = -11z -13 + -11z = -12z Solving -13 + -11z = -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -13 + -11z + 12z = -12z + 12z Combine like terms: -11z + 12z = 1z -13 + 1z = -12z + 12z Combine like terms: -12z + 12z = 0 -13 + 1z = 0 Add '13' to each side of the equation. -13 + 13 + 1z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1z = 0 + 13 1z = 0 + 13 Combine like terms: 0 + 13 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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