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Simplifying 5 + -1(-5z + -8) = 3(-2z + 9) + 1 Reorder the terms: 5 + -1(-8 + -5z) = 3(-2z + 9) + 1 5 + (-8 * -1 + -5z * -1) = 3(-2z + 9) + 1 5 + (8 + 5z) = 3(-2z + 9) + 1 Combine like terms: 5 + 8 = 13 13 + 5z = 3(-2z + 9) + 1 Reorder the terms: 13 + 5z = 3(9 + -2z) + 1 13 + 5z = (9 * 3 + -2z * 3) + 1 13 + 5z = (27 + -6z) + 1 Reorder the terms: 13 + 5z = 27 + 1 + -6z Combine like terms: 27 + 1 = 28 13 + 5z = 28 + -6z Solving 13 + 5z = 28 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 13 + 5z + 6z = 28 + -6z + 6z Combine like terms: 5z + 6z = 11z 13 + 11z = 28 + -6z + 6z Combine like terms: -6z + 6z = 0 13 + 11z = 28 + 0 13 + 11z = 28 Add '-13' to each side of the equation. 13 + -13 + 11z = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 11z = 28 + -13 11z = 28 + -13 Combine like terms: 28 + -13 = 15 11z = 15 Divide each side by '11'. z = 1.363636364 Simplifying z = 1.363636364
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