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Simplifying -5(z + 3) = -4z + -2 Reorder the terms: -5(3 + z) = -4z + -2 (3 * -5 + z * -5) = -4z + -2 (-15 + -5z) = -4z + -2 Reorder the terms: -15 + -5z = -2 + -4z Solving -15 + -5z = -2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -15 + -5z + 4z = -2 + -4z + 4z Combine like terms: -5z + 4z = -1z -15 + -1z = -2 + -4z + 4z Combine like terms: -4z + 4z = 0 -15 + -1z = -2 + 0 -15 + -1z = -2 Add '15' to each side of the equation. -15 + 15 + -1z = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = -2 + 15 -1z = -2 + 15 Combine like terms: -2 + 15 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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