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Simplifying 3(z + -4) + -5 = 4(z + -9) Reorder the terms: 3(-4 + z) + -5 = 4(z + -9) (-4 * 3 + z * 3) + -5 = 4(z + -9) (-12 + 3z) + -5 = 4(z + -9) Reorder the terms: -12 + -5 + 3z = 4(z + -9) Combine like terms: -12 + -5 = -17 -17 + 3z = 4(z + -9) Reorder the terms: -17 + 3z = 4(-9 + z) -17 + 3z = (-9 * 4 + z * 4) -17 + 3z = (-36 + 4z) Solving -17 + 3z = -36 + 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. -17 + 3z + -4z = -36 + 4z + -4z Combine like terms: 3z + -4z = -1z -17 + -1z = -36 + 4z + -4z Combine like terms: 4z + -4z = 0 -17 + -1z = -36 + 0 -17 + -1z = -36 Add '17' to each side of the equation. -17 + 17 + -1z = -36 + 17 Combine like terms: -17 + 17 = 0 0 + -1z = -36 + 17 -1z = -36 + 17 Combine like terms: -36 + 17 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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