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Simplifying -6 + -5(-8z + 9) = 3(-3z + -4) + -7 Reorder the terms: -6 + -5(9 + -8z) = 3(-3z + -4) + -7 -6 + (9 * -5 + -8z * -5) = 3(-3z + -4) + -7 -6 + (-45 + 40z) = 3(-3z + -4) + -7 Combine like terms: -6 + -45 = -51 -51 + 40z = 3(-3z + -4) + -7 Reorder the terms: -51 + 40z = 3(-4 + -3z) + -7 -51 + 40z = (-4 * 3 + -3z * 3) + -7 -51 + 40z = (-12 + -9z) + -7 Reorder the terms: -51 + 40z = -12 + -7 + -9z Combine like terms: -12 + -7 = -19 -51 + 40z = -19 + -9z Solving -51 + 40z = -19 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -51 + 40z + 9z = -19 + -9z + 9z Combine like terms: 40z + 9z = 49z -51 + 49z = -19 + -9z + 9z Combine like terms: -9z + 9z = 0 -51 + 49z = -19 + 0 -51 + 49z = -19 Add '51' to each side of the equation. -51 + 51 + 49z = -19 + 51 Combine like terms: -51 + 51 = 0 0 + 49z = -19 + 51 49z = -19 + 51 Combine like terms: -19 + 51 = 32 49z = 32 Divide each side by '49'. z = 0.6530612245 Simplifying z = 0.6530612245
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