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Simplifying 9(0.4z + -3) = -7(1.5z + 9) Reorder the terms: 9(-3 + 0.4z) = -7(1.5z + 9) (-3 * 9 + 0.4z * 9) = -7(1.5z + 9) (-27 + 3.6z) = -7(1.5z + 9) Reorder the terms: -27 + 3.6z = -7(9 + 1.5z) -27 + 3.6z = (9 * -7 + 1.5z * -7) -27 + 3.6z = (-63 + -10.5z) Solving -27 + 3.6z = -63 + -10.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10.5z' to each side of the equation. -27 + 3.6z + 10.5z = -63 + -10.5z + 10.5z Combine like terms: 3.6z + 10.5z = 14.1z -27 + 14.1z = -63 + -10.5z + 10.5z Combine like terms: -10.5z + 10.5z = 0.0 -27 + 14.1z = -63 + 0.0 -27 + 14.1z = -63 Add '27' to each side of the equation. -27 + 27 + 14.1z = -63 + 27 Combine like terms: -27 + 27 = 0 0 + 14.1z = -63 + 27 14.1z = -63 + 27 Combine like terms: -63 + 27 = -36 14.1z = -36 Divide each side by '14.1'. z = -2.553191489 Simplifying z = -2.553191489
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