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Simplifying 5 + -12a + -6 = 11(3a + -6) + -10(4a + -8) Reorder the terms: 5 + -6 + -12a = 11(3a + -6) + -10(4a + -8) Combine like terms: 5 + -6 = -1 -1 + -12a = 11(3a + -6) + -10(4a + -8) Reorder the terms: -1 + -12a = 11(-6 + 3a) + -10(4a + -8) -1 + -12a = (-6 * 11 + 3a * 11) + -10(4a + -8) -1 + -12a = (-66 + 33a) + -10(4a + -8) Reorder the terms: -1 + -12a = -66 + 33a + -10(-8 + 4a) -1 + -12a = -66 + 33a + (-8 * -10 + 4a * -10) -1 + -12a = -66 + 33a + (80 + -40a) Reorder the terms: -1 + -12a = -66 + 80 + 33a + -40a Combine like terms: -66 + 80 = 14 -1 + -12a = 14 + 33a + -40a Combine like terms: 33a + -40a = -7a -1 + -12a = 14 + -7a Solving -1 + -12a = 14 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -1 + -12a + 7a = 14 + -7a + 7a Combine like terms: -12a + 7a = -5a -1 + -5a = 14 + -7a + 7a Combine like terms: -7a + 7a = 0 -1 + -5a = 14 + 0 -1 + -5a = 14 Add '1' to each side of the equation. -1 + 1 + -5a = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 14 + 1 -5a = 14 + 1 Combine like terms: 14 + 1 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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