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Simplifying -0.19(r + 21) + -0.14(3r + 28) = 1.29 Reorder the terms: -0.19(21 + r) + -0.14(3r + 28) = 1.29 (21 * -0.19 + r * -0.19) + -0.14(3r + 28) = 1.29 (-3.99 + -0.19r) + -0.14(3r + 28) = 1.29 Reorder the terms: -3.99 + -0.19r + -0.14(28 + 3r) = 1.29 -3.99 + -0.19r + (28 * -0.14 + 3r * -0.14) = 1.29 -3.99 + -0.19r + (-3.92 + -0.42r) = 1.29 Reorder the terms: -3.99 + -3.92 + -0.19r + -0.42r = 1.29 Combine like terms: -3.99 + -3.92 = -7.91 -7.91 + -0.19r + -0.42r = 1.29 Combine like terms: -0.19r + -0.42r = -0.61r -7.91 + -0.61r = 1.29 Solving -7.91 + -0.61r = 1.29 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7.91' to each side of the equation. -7.91 + 7.91 + -0.61r = 1.29 + 7.91 Combine like terms: -7.91 + 7.91 = 0.00 0.00 + -0.61r = 1.29 + 7.91 -0.61r = 1.29 + 7.91 Combine like terms: 1.29 + 7.91 = 9.2 -0.61r = 9.2 Divide each side by '-0.61'. r = -15.08196721 Simplifying r = -15.08196721
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