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Simplifying 2r + -9(2r + 5) = 7(2x + 3) Reorder the terms: 2r + -9(5 + 2r) = 7(2x + 3) 2r + (5 * -9 + 2r * -9) = 7(2x + 3) 2r + (-45 + -18r) = 7(2x + 3) Reorder the terms: -45 + 2r + -18r = 7(2x + 3) Combine like terms: 2r + -18r = -16r -45 + -16r = 7(2x + 3) Reorder the terms: -45 + -16r = 7(3 + 2x) -45 + -16r = (3 * 7 + 2x * 7) -45 + -16r = (21 + 14x) Solving -45 + -16r = 21 + 14x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -16r = 21 + 45 + 14x Combine like terms: -45 + 45 = 0 0 + -16r = 21 + 45 + 14x -16r = 21 + 45 + 14x Combine like terms: 21 + 45 = 66 -16r = 66 + 14x Divide each side by '-16'. r = -4.125 + -0.875x Simplifying r = -4.125 + -0.875x
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