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Simplifying 0.04(3p + -2) + -0.02p = 0.1(p + 3) Reorder the terms: 0.04(-2 + 3p) + -0.02p = 0.1(p + 3) (-2 * 0.04 + 3p * 0.04) + -0.02p = 0.1(p + 3) (-0.08 + 0.12p) + -0.02p = 0.1(p + 3) Combine like terms: 0.12p + -0.02p = 0.1p -0.08 + 0.1p = 0.1(p + 3) Reorder the terms: -0.08 + 0.1p = 0.1(3 + p) -0.08 + 0.1p = (3 * 0.1 + p * 0.1) -0.08 + 0.1p = (0.3 + 0.1p) Add '-0.1p' to each side of the equation. -0.08 + 0.1p + -0.1p = 0.3 + 0.1p + -0.1p Combine like terms: 0.1p + -0.1p = 0.0 -0.08 + 0.0 = 0.3 + 0.1p + -0.1p -0.08 = 0.3 + 0.1p + -0.1p Combine like terms: 0.1p + -0.1p = 0.0 -0.08 = 0.3 + 0.0 -0.08 = 0.3 Solving -0.08 = 0.3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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