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Simplifying 15.8 = r + 1.2(x + -5) Reorder the terms: 15.8 = r + 1.2(-5 + x) 15.8 = r + (-5 * 1.2 + x * 1.2) 15.8 = r + (-6 + 1.2x) Reorder the terms: 15.8 = -6 + r + 1.2x Solving 15.8 = -6 + r + 1.2x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 15.8 + -1r = -6 + r + -1r + 1.2x Combine like terms: r + -1r = 0 15.8 + -1r = -6 + 0 + 1.2x 15.8 + -1r = -6 + 1.2x Add '-15.8' to each side of the equation. 15.8 + -15.8 + -1r = -6 + -15.8 + 1.2x Combine like terms: 15.8 + -15.8 = 0.0 0.0 + -1r = -6 + -15.8 + 1.2x -1r = -6 + -15.8 + 1.2x Combine like terms: -6 + -15.8 = -21.8 -1r = -21.8 + 1.2x Divide each side by '-1'. r = 21.8 + -1.2x Simplifying r = 21.8 + -1.2x
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