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Simplifying 5(3r + -7) + r = 3(r + -3) Reorder the terms: 5(-7 + 3r) + r = 3(r + -3) (-7 * 5 + 3r * 5) + r = 3(r + -3) (-35 + 15r) + r = 3(r + -3) Combine like terms: 15r + r = 16r -35 + 16r = 3(r + -3) Reorder the terms: -35 + 16r = 3(-3 + r) -35 + 16r = (-3 * 3 + r * 3) -35 + 16r = (-9 + 3r) Solving -35 + 16r = -9 + 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. -35 + 16r + -3r = -9 + 3r + -3r Combine like terms: 16r + -3r = 13r -35 + 13r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 -35 + 13r = -9 + 0 -35 + 13r = -9 Add '35' to each side of the equation. -35 + 35 + 13r = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 13r = -9 + 35 13r = -9 + 35 Combine like terms: -9 + 35 = 26 13r = 26 Divide each side by '13'. r = 2 Simplifying r = 2
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