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Simplifying 0.2(c + -4) * 1 = 0.15(c + 2) Reorder the terms: 0.2(-4 + c) * 1 = 0.15(c + 2) Reorder the terms for easier multiplication: 0.2 * 1(-4 + c) = 0.15(c + 2) Multiply 0.2 * 1 0.2(-4 + c) = 0.15(c + 2) (-4 * 0.2 + c * 0.2) = 0.15(c + 2) (-0.8 + 0.2c) = 0.15(c + 2) Reorder the terms: -0.8 + 0.2c = 0.15(2 + c) -0.8 + 0.2c = (2 * 0.15 + c * 0.15) -0.8 + 0.2c = (0.3 + 0.15c) Solving -0.8 + 0.2c = 0.3 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. -0.8 + 0.2c + -0.15c = 0.3 + 0.15c + -0.15c Combine like terms: 0.2c + -0.15c = 0.05c -0.8 + 0.05c = 0.3 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 -0.8 + 0.05c = 0.3 + 0.00 -0.8 + 0.05c = 0.3 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.05c = 0.3 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.05c = 0.3 + 0.8 0.05c = 0.3 + 0.8 Combine like terms: 0.3 + 0.8 = 1.1 0.05c = 1.1 Divide each side by '0.05'. c = 22 Simplifying c = 22
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