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Simplifying -2.4(z + 16) = 1.8(z + -1.5) Reorder the terms: -2.4(16 + z) = 1.8(z + -1.5) (16 * -2.4 + z * -2.4) = 1.8(z + -1.5) (-38.4 + -2.4z) = 1.8(z + -1.5) Reorder the terms: -38.4 + -2.4z = 1.8(-1.5 + z) -38.4 + -2.4z = (-1.5 * 1.8 + z * 1.8) -38.4 + -2.4z = (-2.7 + 1.8z) Solving -38.4 + -2.4z = -2.7 + 1.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.8z' to each side of the equation. -38.4 + -2.4z + -1.8z = -2.7 + 1.8z + -1.8z Combine like terms: -2.4z + -1.8z = -4.2z -38.4 + -4.2z = -2.7 + 1.8z + -1.8z Combine like terms: 1.8z + -1.8z = 0.0 -38.4 + -4.2z = -2.7 + 0.0 -38.4 + -4.2z = -2.7 Add '38.4' to each side of the equation. -38.4 + 38.4 + -4.2z = -2.7 + 38.4 Combine like terms: -38.4 + 38.4 = 0.0 0.0 + -4.2z = -2.7 + 38.4 -4.2z = -2.7 + 38.4 Combine like terms: -2.7 + 38.4 = 35.7 -4.2z = 35.7 Divide each side by '-4.2'. z = -8.5 Simplifying z = -8.5
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