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Simplifying 4(c + 10) + -146 = 6(2c + 9) Reorder the terms: 4(10 + c) + -146 = 6(2c + 9) (10 * 4 + c * 4) + -146 = 6(2c + 9) (40 + 4c) + -146 = 6(2c + 9) Reorder the terms: 40 + -146 + 4c = 6(2c + 9) Combine like terms: 40 + -146 = -106 -106 + 4c = 6(2c + 9) Reorder the terms: -106 + 4c = 6(9 + 2c) -106 + 4c = (9 * 6 + 2c * 6) -106 + 4c = (54 + 12c) Solving -106 + 4c = 54 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -106 + 4c + -12c = 54 + 12c + -12c Combine like terms: 4c + -12c = -8c -106 + -8c = 54 + 12c + -12c Combine like terms: 12c + -12c = 0 -106 + -8c = 54 + 0 -106 + -8c = 54 Add '106' to each side of the equation. -106 + 106 + -8c = 54 + 106 Combine like terms: -106 + 106 = 0 0 + -8c = 54 + 106 -8c = 54 + 106 Combine like terms: 54 + 106 = 160 -8c = 160 Divide each side by '-8'. c = -20 Simplifying c = -20
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