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Simplifying 48 = 2(24 + -1z) + 4(2 + -3) 48 = (24 * 2 + -1z * 2) + 4(2 + -3) 48 = (48 + -2z) + 4(2 + -3) Combine like terms: 2 + -3 = -1 48 = 48 + -2z + 4(-1) Multiply 4 * -1 48 = 48 + -2z + -4 Reorder the terms: 48 = 48 + -4 + -2z Combine like terms: 48 + -4 = 44 48 = 44 + -2z Solving 48 = 44 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 48 + 2z = 44 + -2z + 2z Combine like terms: -2z + 2z = 0 48 + 2z = 44 + 0 48 + 2z = 44 Add '-48' to each side of the equation. 48 + -48 + 2z = 44 + -48 Combine like terms: 48 + -48 = 0 0 + 2z = 44 + -48 2z = 44 + -48 Combine like terms: 44 + -48 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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