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Simplifying 7(z + -2) + 3 = 4(z + 1) Reorder the terms: 7(-2 + z) + 3 = 4(z + 1) (-2 * 7 + z * 7) + 3 = 4(z + 1) (-14 + 7z) + 3 = 4(z + 1) Reorder the terms: -14 + 3 + 7z = 4(z + 1) Combine like terms: -14 + 3 = -11 -11 + 7z = 4(z + 1) Reorder the terms: -11 + 7z = 4(1 + z) -11 + 7z = (1 * 4 + z * 4) -11 + 7z = (4 + 4z) Solving -11 + 7z = 4 + 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. -11 + 7z + -4z = 4 + 4z + -4z Combine like terms: 7z + -4z = 3z -11 + 3z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -11 + 3z = 4 + 0 -11 + 3z = 4 Add '11' to each side of the equation. -11 + 11 + 3z = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 3z = 4 + 11 3z = 4 + 11 Combine like terms: 4 + 11 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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