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Simplifying 2(z + -21) + 4(z + -4) = 44 Reorder the terms: 2(-21 + z) + 4(z + -4) = 44 (-21 * 2 + z * 2) + 4(z + -4) = 44 (-42 + 2z) + 4(z + -4) = 44 Reorder the terms: -42 + 2z + 4(-4 + z) = 44 -42 + 2z + (-4 * 4 + z * 4) = 44 -42 + 2z + (-16 + 4z) = 44 Reorder the terms: -42 + -16 + 2z + 4z = 44 Combine like terms: -42 + -16 = -58 -58 + 2z + 4z = 44 Combine like terms: 2z + 4z = 6z -58 + 6z = 44 Solving -58 + 6z = 44 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 6z = 44 + 58 Combine like terms: -58 + 58 = 0 0 + 6z = 44 + 58 6z = 44 + 58 Combine like terms: 44 + 58 = 102 6z = 102 Divide each side by '6'. z = 17 Simplifying z = 17
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