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Simplifying -1 + -5(-4z + 3) = (-3z + -6) + 4 Reorder the terms: -1 + -5(3 + -4z) = (-3z + -6) + 4 -1 + (3 * -5 + -4z * -5) = (-3z + -6) + 4 -1 + (-15 + 20z) = (-3z + -6) + 4 Combine like terms: -1 + -15 = -16 -16 + 20z = (-3z + -6) + 4 Reorder the terms: -16 + 20z = (-6 + -3z) + 4 Remove parenthesis around (-6 + -3z) -16 + 20z = -6 + -3z + 4 Reorder the terms: -16 + 20z = -6 + 4 + -3z Combine like terms: -6 + 4 = -2 -16 + 20z = -2 + -3z Solving -16 + 20z = -2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -16 + 20z + 3z = -2 + -3z + 3z Combine like terms: 20z + 3z = 23z -16 + 23z = -2 + -3z + 3z Combine like terms: -3z + 3z = 0 -16 + 23z = -2 + 0 -16 + 23z = -2 Add '16' to each side of the equation. -16 + 16 + 23z = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 23z = -2 + 16 23z = -2 + 16 Combine like terms: -2 + 16 = 14 23z = 14 Divide each side by '23'. z = 0.6086956522 Simplifying z = 0.6086956522
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