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Simplifying 1r + -10 = 4 + 5(2r + -1) Reorder the terms: -10 + 1r = 4 + 5(2r + -1) Reorder the terms: -10 + 1r = 4 + 5(-1 + 2r) -10 + 1r = 4 + (-1 * 5 + 2r * 5) -10 + 1r = 4 + (-5 + 10r) Combine like terms: 4 + -5 = -1 -10 + 1r = -1 + 10r Solving -10 + 1r = -1 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -10 + 1r + -10r = -1 + 10r + -10r Combine like terms: 1r + -10r = -9r -10 + -9r = -1 + 10r + -10r Combine like terms: 10r + -10r = 0 -10 + -9r = -1 + 0 -10 + -9r = -1 Add '10' to each side of the equation. -10 + 10 + -9r = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -9r = -1 + 10 -9r = -1 + 10 Combine like terms: -1 + 10 = 9 -9r = 9 Divide each side by '-9'. r = -1 Simplifying r = -1
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