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Simplifying 4 + 5(1 + -3r) = 9 + -2r 4 + (1 * 5 + -3r * 5) = 9 + -2r 4 + (5 + -15r) = 9 + -2r Combine like terms: 4 + 5 = 9 9 + -15r = 9 + -2r Add '-9' to each side of the equation. 9 + -9 + -15r = 9 + -9 + -2r Combine like terms: 9 + -9 = 0 0 + -15r = 9 + -9 + -2r -15r = 9 + -9 + -2r Combine like terms: 9 + -9 = 0 -15r = 0 + -2r -15r = -2r Solving -15r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -15r + 2r = -2r + 2r Combine like terms: -15r + 2r = -13r -13r = -2r + 2r Combine like terms: -2r + 2r = 0 -13r = 0 Divide each side by '-13'. r = 0 Simplifying r = 0
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