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Simplifying 5(r + -10) + 3 = 6(r + 3) + -62 Reorder the terms: 5(-10 + r) + 3 = 6(r + 3) + -62 (-10 * 5 + r * 5) + 3 = 6(r + 3) + -62 (-50 + 5r) + 3 = 6(r + 3) + -62 Reorder the terms: -50 + 3 + 5r = 6(r + 3) + -62 Combine like terms: -50 + 3 = -47 -47 + 5r = 6(r + 3) + -62 Reorder the terms: -47 + 5r = 6(3 + r) + -62 -47 + 5r = (3 * 6 + r * 6) + -62 -47 + 5r = (18 + 6r) + -62 Reorder the terms: -47 + 5r = 18 + -62 + 6r Combine like terms: 18 + -62 = -44 -47 + 5r = -44 + 6r Solving -47 + 5r = -44 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -47 + 5r + -6r = -44 + 6r + -6r Combine like terms: 5r + -6r = -1r -47 + -1r = -44 + 6r + -6r Combine like terms: 6r + -6r = 0 -47 + -1r = -44 + 0 -47 + -1r = -44 Add '47' to each side of the equation. -47 + 47 + -1r = -44 + 47 Combine like terms: -47 + 47 = 0 0 + -1r = -44 + 47 -1r = -44 + 47 Combine like terms: -44 + 47 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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