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Simplifying -4(z + 3) + 7 = 4z + 3 Reorder the terms: -4(3 + z) + 7 = 4z + 3 (3 * -4 + z * -4) + 7 = 4z + 3 (-12 + -4z) + 7 = 4z + 3 Reorder the terms: -12 + 7 + -4z = 4z + 3 Combine like terms: -12 + 7 = -5 -5 + -4z = 4z + 3 Reorder the terms: -5 + -4z = 3 + 4z Solving -5 + -4z = 3 + 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. -5 + -4z + -4z = 3 + 4z + -4z Combine like terms: -4z + -4z = -8z -5 + -8z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + -8z = 3 + 0 -5 + -8z = 3 Add '5' to each side of the equation. -5 + 5 + -8z = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -8z = 3 + 5 -8z = 3 + 5 Combine like terms: 3 + 5 = 8 -8z = 8 Divide each side by '-8'. z = -1 Simplifying z = -1
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