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Simplifying -15 = -4 + 7(z + -3) Reorder the terms: -15 = -4 + 7(-3 + z) -15 = -4 + (-3 * 7 + z * 7) -15 = -4 + (-21 + 7z) Combine like terms: -4 + -21 = -25 -15 = -25 + 7z Solving -15 = -25 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -15 + -7z = -25 + 7z + -7z Combine like terms: 7z + -7z = 0 -15 + -7z = -25 + 0 -15 + -7z = -25 Add '15' to each side of the equation. -15 + 15 + -7z = -25 + 15 Combine like terms: -15 + 15 = 0 0 + -7z = -25 + 15 -7z = -25 + 15 Combine like terms: -25 + 15 = -10 -7z = -10 Divide each side by '-7'. z = 1.428571429 Simplifying z = 1.428571429
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