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Simplifying 5 + -2(3r + 3) = 4r + 11 Reorder the terms: 5 + -2(3 + 3r) = 4r + 11 5 + (3 * -2 + 3r * -2) = 4r + 11 5 + (-6 + -6r) = 4r + 11 Combine like terms: 5 + -6 = -1 -1 + -6r = 4r + 11 Reorder the terms: -1 + -6r = 11 + 4r Solving -1 + -6r = 11 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -1 + -6r + -4r = 11 + 4r + -4r Combine like terms: -6r + -4r = -10r -1 + -10r = 11 + 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -10r = 11 + 0 -1 + -10r = 11 Add '1' to each side of the equation. -1 + 1 + -10r = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -10r = 11 + 1 -10r = 11 + 1 Combine like terms: 11 + 1 = 12 -10r = 12 Divide each side by '-10'. r = -1.2 Simplifying r = -1.2
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