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Simplifying 5r + -13 + -6r = 3(r + 5 + -16) Reorder the terms: -13 + 5r + -6r = 3(r + 5 + -16) Combine like terms: 5r + -6r = -1r -13 + -1r = 3(r + 5 + -16) Reorder the terms: -13 + -1r = 3(5 + -16 + r) Combine like terms: 5 + -16 = -11 -13 + -1r = 3(-11 + r) -13 + -1r = (-11 * 3 + r * 3) -13 + -1r = (-33 + 3r) Solving -13 + -1r = -33 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -13 + -1r + -3r = -33 + 3r + -3r Combine like terms: -1r + -3r = -4r -13 + -4r = -33 + 3r + -3r Combine like terms: 3r + -3r = 0 -13 + -4r = -33 + 0 -13 + -4r = -33 Add '13' to each side of the equation. -13 + 13 + -4r = -33 + 13 Combine like terms: -13 + 13 = 0 0 + -4r = -33 + 13 -4r = -33 + 13 Combine like terms: -33 + 13 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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