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Simplifying 98 = 0.06r + 0.1(r + -300) Reorder the terms: 98 = 0.06r + 0.1(-300 + r) 98 = 0.06r + (-300 * 0.1 + r * 0.1) 98 = 0.06r + (-30 + 0.1r) Reorder the terms: 98 = -30 + 0.06r + 0.1r Combine like terms: 0.06r + 0.1r = 0.16r 98 = -30 + 0.16r Solving 98 = -30 + 0.16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.16r' to each side of the equation. 98 + -0.16r = -30 + 0.16r + -0.16r Combine like terms: 0.16r + -0.16r = 0.00 98 + -0.16r = -30 + 0.00 98 + -0.16r = -30 Add '-98' to each side of the equation. 98 + -98 + -0.16r = -30 + -98 Combine like terms: 98 + -98 = 0 0 + -0.16r = -30 + -98 -0.16r = -30 + -98 Combine like terms: -30 + -98 = -128 -0.16r = -128 Divide each side by '-0.16'. r = 800 Simplifying r = 800
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