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Simplifying 3[5 + -3(4 + -1z)] + -5 = 5[3(5a + -4) + 2] + -26 3[5 + (4 * -3 + -1z * -3)] + -5 = 5[3(5a + -4) + 2] + -26 3[5 + (-12 + 3z)] + -5 = 5[3(5a + -4) + 2] + -26 Combine like terms: 5 + -12 = -7 3[-7 + 3z] + -5 = 5[3(5a + -4) + 2] + -26 [-7 * 3 + 3z * 3] + -5 = 5[3(5a + -4) + 2] + -26 [-21 + 9z] + -5 = 5[3(5a + -4) + 2] + -26 Reorder the terms: -21 + -5 + 9z = 5[3(5a + -4) + 2] + -26 Combine like terms: -21 + -5 = -26 -26 + 9z = 5[3(5a + -4) + 2] + -26 Reorder the terms: -26 + 9z = 5[3(-4 + 5a) + 2] + -26 -26 + 9z = 5[(-4 * 3 + 5a * 3) + 2] + -26 -26 + 9z = 5[(-12 + 15a) + 2] + -26 Reorder the terms: -26 + 9z = 5[-12 + 2 + 15a] + -26 Combine like terms: -12 + 2 = -10 -26 + 9z = 5[-10 + 15a] + -26 -26 + 9z = [-10 * 5 + 15a * 5] + -26 -26 + 9z = [-50 + 75a] + -26 Reorder the terms: -26 + 9z = -50 + -26 + 75a Combine like terms: -50 + -26 = -76 -26 + 9z = -76 + 75a Solving -26 + 9z = -76 + 75a Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9z = -76 + 26 + 75a Combine like terms: -26 + 26 = 0 0 + 9z = -76 + 26 + 75a 9z = -76 + 26 + 75a Combine like terms: -76 + 26 = -50 9z = -50 + 75a Divide each side by '9'. z = -5.555555556 + 8.333333333a Simplifying z = -5.555555556 + 8.333333333a
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