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Simplifying -19 = -7 + 5(z + 3) Reorder the terms: -19 = -7 + 5(3 + z) -19 = -7 + (3 * 5 + z * 5) -19 = -7 + (15 + 5z) Combine like terms: -7 + 15 = 8 -19 = 8 + 5z Solving -19 = 8 + 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. -19 + -5z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 -19 + -5z = 8 + 0 -19 + -5z = 8 Add '19' to each side of the equation. -19 + 19 + -5z = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -5z = 8 + 19 -5z = 8 + 19 Combine like terms: 8 + 19 = 27 -5z = 27 Divide each side by '-5'. z = -5.4 Simplifying z = -5.4
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