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Simplifying 7 + 6(6z + 7) = -2(-4z + -2) + 2 Reorder the terms: 7 + 6(7 + 6z) = -2(-4z + -2) + 2 7 + (7 * 6 + 6z * 6) = -2(-4z + -2) + 2 7 + (42 + 36z) = -2(-4z + -2) + 2 Combine like terms: 7 + 42 = 49 49 + 36z = -2(-4z + -2) + 2 Reorder the terms: 49 + 36z = -2(-2 + -4z) + 2 49 + 36z = (-2 * -2 + -4z * -2) + 2 49 + 36z = (4 + 8z) + 2 Reorder the terms: 49 + 36z = 4 + 2 + 8z Combine like terms: 4 + 2 = 6 49 + 36z = 6 + 8z Solving 49 + 36z = 6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 49 + 36z + -8z = 6 + 8z + -8z Combine like terms: 36z + -8z = 28z 49 + 28z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 49 + 28z = 6 + 0 49 + 28z = 6 Add '-49' to each side of the equation. 49 + -49 + 28z = 6 + -49 Combine like terms: 49 + -49 = 0 0 + 28z = 6 + -49 28z = 6 + -49 Combine like terms: 6 + -49 = -43 28z = -43 Divide each side by '28'. z = -1.535714286 Simplifying z = -1.535714286
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