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Simplifying -1.62 + -2.7c = 3.8(c + 7.1) Reorder the terms: -1.62 + -2.7c = 3.8(7.1 + c) -1.62 + -2.7c = (7.1 * 3.8 + c * 3.8) -1.62 + -2.7c = (26.98 + 3.8c) Solving -1.62 + -2.7c = 26.98 + 3.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3.8c' to each side of the equation. -1.62 + -2.7c + -3.8c = 26.98 + 3.8c + -3.8c Combine like terms: -2.7c + -3.8c = -6.5c -1.62 + -6.5c = 26.98 + 3.8c + -3.8c Combine like terms: 3.8c + -3.8c = 0.0 -1.62 + -6.5c = 26.98 + 0.0 -1.62 + -6.5c = 26.98 Add '1.62' to each side of the equation. -1.62 + 1.62 + -6.5c = 26.98 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + -6.5c = 26.98 + 1.62 -6.5c = 26.98 + 1.62 Combine like terms: 26.98 + 1.62 = 28.6 -6.5c = 28.6 Divide each side by '-6.5'. c = -4.4 Simplifying c = -4.4
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