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Simplifying 6(r + -9) = 4(2r + -15) Reorder the terms: 6(-9 + r) = 4(2r + -15) (-9 * 6 + r * 6) = 4(2r + -15) (-54 + 6r) = 4(2r + -15) Reorder the terms: -54 + 6r = 4(-15 + 2r) -54 + 6r = (-15 * 4 + 2r * 4) -54 + 6r = (-60 + 8r) Solving -54 + 6r = -60 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -54 + 6r + -8r = -60 + 8r + -8r Combine like terms: 6r + -8r = -2r -54 + -2r = -60 + 8r + -8r Combine like terms: 8r + -8r = 0 -54 + -2r = -60 + 0 -54 + -2r = -60 Add '54' to each side of the equation. -54 + 54 + -2r = -60 + 54 Combine like terms: -54 + 54 = 0 0 + -2r = -60 + 54 -2r = -60 + 54 Combine like terms: -60 + 54 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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