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Simplifying -8 + z = 5(z + -3) + -4 Reorder the terms: -8 + z = 5(-3 + z) + -4 -8 + z = (-3 * 5 + z * 5) + -4 -8 + z = (-15 + 5z) + -4 Reorder the terms: -8 + z = -15 + -4 + 5z Combine like terms: -15 + -4 = -19 -8 + z = -19 + 5z Solving -8 + z = -19 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -8 + z + -5z = -19 + 5z + -5z Combine like terms: z + -5z = -4z -8 + -4z = -19 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + -4z = -19 + 0 -8 + -4z = -19 Add '8' to each side of the equation. -8 + 8 + -4z = -19 + 8 Combine like terms: -8 + 8 = 0 0 + -4z = -19 + 8 -4z = -19 + 8 Combine like terms: -19 + 8 = -11 -4z = -11 Divide each side by '-4'. z = 2.75 Simplifying z = 2.75
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