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Simplifying 6(r + -10) + 3r = -6(r + 10) Reorder the terms: 6(-10 + r) + 3r = -6(r + 10) (-10 * 6 + r * 6) + 3r = -6(r + 10) (-60 + 6r) + 3r = -6(r + 10) Combine like terms: 6r + 3r = 9r -60 + 9r = -6(r + 10) Reorder the terms: -60 + 9r = -6(10 + r) -60 + 9r = (10 * -6 + r * -6) -60 + 9r = (-60 + -6r) Add '60' to each side of the equation. -60 + 60 + 9r = -60 + 60 + -6r Combine like terms: -60 + 60 = 0 0 + 9r = -60 + 60 + -6r 9r = -60 + 60 + -6r Combine like terms: -60 + 60 = 0 9r = 0 + -6r 9r = -6r Solving 9r = -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. 9r + 6r = -6r + 6r Combine like terms: 9r + 6r = 15r 15r = -6r + 6r Combine like terms: -6r + 6r = 0 15r = 0 Divide each side by '15'. r = 0 Simplifying r = 0
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