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Simplifying 2(r + -3) + 4 = 4(2r + 5) Reorder the terms: 2(-3 + r) + 4 = 4(2r + 5) (-3 * 2 + r * 2) + 4 = 4(2r + 5) (-6 + 2r) + 4 = 4(2r + 5) Reorder the terms: -6 + 4 + 2r = 4(2r + 5) Combine like terms: -6 + 4 = -2 -2 + 2r = 4(2r + 5) Reorder the terms: -2 + 2r = 4(5 + 2r) -2 + 2r = (5 * 4 + 2r * 4) -2 + 2r = (20 + 8r) Solving -2 + 2r = 20 + 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. -2 + 2r + -8r = 20 + 8r + -8r Combine like terms: 2r + -8r = -6r -2 + -6r = 20 + 8r + -8r Combine like terms: 8r + -8r = 0 -2 + -6r = 20 + 0 -2 + -6r = 20 Add '2' to each side of the equation. -2 + 2 + -6r = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -6r = 20 + 2 -6r = 20 + 2 Combine like terms: 20 + 2 = 22 -6r = 22 Divide each side by '-6'. r = -3.666666667 Simplifying r = -3.666666667
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