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Simplifying -1.2(1r + -0.1) + -0.5 = 1.54 Reorder the terms: -1.2(-0.1 + 1r) + -0.5 = 1.54 (-0.1 * -1.2 + 1r * -1.2) + -0.5 = 1.54 (0.12 + -1.2r) + -0.5 = 1.54 Reorder the terms: 0.12 + -0.5 + -1.2r = 1.54 Combine like terms: 0.12 + -0.5 = -0.38 -0.38 + -1.2r = 1.54 Solving -0.38 + -1.2r = 1.54 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.38' to each side of the equation. -0.38 + 0.38 + -1.2r = 1.54 + 0.38 Combine like terms: -0.38 + 0.38 = 0.00 0.00 + -1.2r = 1.54 + 0.38 -1.2r = 1.54 + 0.38 Combine like terms: 1.54 + 0.38 = 1.92 -1.2r = 1.92 Divide each side by '-1.2'. r = -1.6 Simplifying r = -1.6
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