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Simplifying 6(4r + -9) = 3(3r + -7) Reorder the terms: 6(-9 + 4r) = 3(3r + -7) (-9 * 6 + 4r * 6) = 3(3r + -7) (-54 + 24r) = 3(3r + -7) Reorder the terms: -54 + 24r = 3(-7 + 3r) -54 + 24r = (-7 * 3 + 3r * 3) -54 + 24r = (-21 + 9r) Solving -54 + 24r = -21 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -54 + 24r + -9r = -21 + 9r + -9r Combine like terms: 24r + -9r = 15r -54 + 15r = -21 + 9r + -9r Combine like terms: 9r + -9r = 0 -54 + 15r = -21 + 0 -54 + 15r = -21 Add '54' to each side of the equation. -54 + 54 + 15r = -21 + 54 Combine like terms: -54 + 54 = 0 0 + 15r = -21 + 54 15r = -21 + 54 Combine like terms: -21 + 54 = 33 15r = 33 Divide each side by '15'. r = 2.2 Simplifying r = 2.2
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