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Simplifying 5 + 7(5z + 2) = -2(-2z + 3) + -1 Reorder the terms: 5 + 7(2 + 5z) = -2(-2z + 3) + -1 5 + (2 * 7 + 5z * 7) = -2(-2z + 3) + -1 5 + (14 + 35z) = -2(-2z + 3) + -1 Combine like terms: 5 + 14 = 19 19 + 35z = -2(-2z + 3) + -1 Reorder the terms: 19 + 35z = -2(3 + -2z) + -1 19 + 35z = (3 * -2 + -2z * -2) + -1 19 + 35z = (-6 + 4z) + -1 Reorder the terms: 19 + 35z = -6 + -1 + 4z Combine like terms: -6 + -1 = -7 19 + 35z = -7 + 4z Solving 19 + 35z = -7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 19 + 35z + -4z = -7 + 4z + -4z Combine like terms: 35z + -4z = 31z 19 + 31z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 19 + 31z = -7 + 0 19 + 31z = -7 Add '-19' to each side of the equation. 19 + -19 + 31z = -7 + -19 Combine like terms: 19 + -19 = 0 0 + 31z = -7 + -19 31z = -7 + -19 Combine like terms: -7 + -19 = -26 31z = -26 Divide each side by '31'. z = -0.8387096774 Simplifying z = -0.8387096774
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