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Simplifying 48 = -2(24 + -2) + 4(z + -3) Combine like terms: 24 + -2 = 22 48 = -2(22) + 4(z + -3) Multiply -2 * 22 48 = -44 + 4(z + -3) Reorder the terms: 48 = -44 + 4(-3 + z) 48 = -44 + (-3 * 4 + z * 4) 48 = -44 + (-12 + 4z) Combine like terms: -44 + -12 = -56 48 = -56 + 4z Solving 48 = -56 + 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. 48 + -4z = -56 + 4z + -4z Combine like terms: 4z + -4z = 0 48 + -4z = -56 + 0 48 + -4z = -56 Add '-48' to each side of the equation. 48 + -48 + -4z = -56 + -48 Combine like terms: 48 + -48 = 0 0 + -4z = -56 + -48 -4z = -56 + -48 Combine like terms: -56 + -48 = -104 -4z = -104 Divide each side by '-4'. z = 26 Simplifying z = 26
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