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Simplifying 4(c + 10) + -146 = 6(2a + 9) Reorder the terms: 4(10 + c) + -146 = 6(2a + 9) (10 * 4 + c * 4) + -146 = 6(2a + 9) (40 + 4c) + -146 = 6(2a + 9) Reorder the terms: 40 + -146 + 4c = 6(2a + 9) Combine like terms: 40 + -146 = -106 -106 + 4c = 6(2a + 9) Reorder the terms: -106 + 4c = 6(9 + 2a) -106 + 4c = (9 * 6 + 2a * 6) -106 + 4c = (54 + 12a) Solving -106 + 4c = 54 + 12a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 4c = 54 + 106 + 12a Combine like terms: -106 + 106 = 0 0 + 4c = 54 + 106 + 12a 4c = 54 + 106 + 12a Combine like terms: 54 + 106 = 160 4c = 160 + 12a Divide each side by '4'. c = 40 + 3a Simplifying c = 40 + 3a
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