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Simplifying -7r + -1(1 + 0.3r) = -4 + -5.3r -7r + (1 * -1 + 0.3r * -1) = -4 + -5.3r -7r + (-1 + -0.3r) = -4 + -5.3r Reorder the terms: -1 + -7r + -0.3r = -4 + -5.3r Combine like terms: -7r + -0.3r = -7.3r -1 + -7.3r = -4 + -5.3r Solving -1 + -7.3r = -4 + -5.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5.3r' to each side of the equation. -1 + -7.3r + 5.3r = -4 + -5.3r + 5.3r Combine like terms: -7.3r + 5.3r = -2r -1 + -2r = -4 + -5.3r + 5.3r Combine like terms: -5.3r + 5.3r = 0.0 -1 + -2r = -4 + 0.0 -1 + -2r = -4 Add '1' to each side of the equation. -1 + 1 + -2r = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -2r = -4 + 1 -2r = -4 + 1 Combine like terms: -4 + 1 = -3 -2r = -3 Divide each side by '-2'. r = 1.5 Simplifying r = 1.5
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