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Simplifying 0.1r + 0.2(x + -7) = 0.142 Reorder the terms: 0.1r + 0.2(-7 + x) = 0.142 0.1r + (-7 * 0.2 + x * 0.2) = 0.142 0.1r + (-1.4 + 0.2x) = 0.142 Reorder the terms: -1.4 + 0.1r + 0.2x = 0.142 Solving -1.4 + 0.1r + 0.2x = 0.142 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 0.1r + 1.4 + 0.2x = 0.142 + 1.4 Reorder the terms: -1.4 + 1.4 + 0.1r + 0.2x = 0.142 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.1r + 0.2x = 0.142 + 1.4 0.1r + 0.2x = 0.142 + 1.4 Combine like terms: 0.142 + 1.4 = 1.542 0.1r + 0.2x = 1.542 Add '-0.2x' to each side of the equation. 0.1r + 0.2x + -0.2x = 1.542 + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.1r + 0.0 = 1.542 + -0.2x 0.1r = 1.542 + -0.2x Divide each side by '0.1'. r = 15.42 + -2x Simplifying r = 15.42 + -2x
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