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Simplifying -7 + -2(9z + -1) = 9(3z + -4) + -4 Reorder the terms: -7 + -2(-1 + 9z) = 9(3z + -4) + -4 -7 + (-1 * -2 + 9z * -2) = 9(3z + -4) + -4 -7 + (2 + -18z) = 9(3z + -4) + -4 Combine like terms: -7 + 2 = -5 -5 + -18z = 9(3z + -4) + -4 Reorder the terms: -5 + -18z = 9(-4 + 3z) + -4 -5 + -18z = (-4 * 9 + 3z * 9) + -4 -5 + -18z = (-36 + 27z) + -4 Reorder the terms: -5 + -18z = -36 + -4 + 27z Combine like terms: -36 + -4 = -40 -5 + -18z = -40 + 27z Solving -5 + -18z = -40 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. -5 + -18z + -27z = -40 + 27z + -27z Combine like terms: -18z + -27z = -45z -5 + -45z = -40 + 27z + -27z Combine like terms: 27z + -27z = 0 -5 + -45z = -40 + 0 -5 + -45z = -40 Add '5' to each side of the equation. -5 + 5 + -45z = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -45z = -40 + 5 -45z = -40 + 5 Combine like terms: -40 + 5 = -35 -45z = -35 Divide each side by '-45'. z = 0.7777777778 Simplifying z = 0.7777777778
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