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Simplifying 3(z + -4) + -1 = 4(z + -5) Reorder the terms: 3(-4 + z) + -1 = 4(z + -5) (-4 * 3 + z * 3) + -1 = 4(z + -5) (-12 + 3z) + -1 = 4(z + -5) Reorder the terms: -12 + -1 + 3z = 4(z + -5) Combine like terms: -12 + -1 = -13 -13 + 3z = 4(z + -5) Reorder the terms: -13 + 3z = 4(-5 + z) -13 + 3z = (-5 * 4 + z * 4) -13 + 3z = (-20 + 4z) Solving -13 + 3z = -20 + 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. -13 + 3z + -4z = -20 + 4z + -4z Combine like terms: 3z + -4z = -1z -13 + -1z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -13 + -1z = -20 + 0 -13 + -1z = -20 Add '13' to each side of the equation. -13 + 13 + -1z = -20 + 13 Combine like terms: -13 + 13 = 0 0 + -1z = -20 + 13 -1z = -20 + 13 Combine like terms: -20 + 13 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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