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Simplifying 8(4a + -1) + -12a = 11(2a + -6) Reorder the terms: 8(-1 + 4a) + -12a = 11(2a + -6) (-1 * 8 + 4a * 8) + -12a = 11(2a + -6) (-8 + 32a) + -12a = 11(2a + -6) Combine like terms: 32a + -12a = 20a -8 + 20a = 11(2a + -6) Reorder the terms: -8 + 20a = 11(-6 + 2a) -8 + 20a = (-6 * 11 + 2a * 11) -8 + 20a = (-66 + 22a) Solving -8 + 20a = -66 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -8 + 20a + -22a = -66 + 22a + -22a Combine like terms: 20a + -22a = -2a -8 + -2a = -66 + 22a + -22a Combine like terms: 22a + -22a = 0 -8 + -2a = -66 + 0 -8 + -2a = -66 Add '8' to each side of the equation. -8 + 8 + -2a = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = -66 + 8 -2a = -66 + 8 Combine like terms: -66 + 8 = -58 -2a = -58 Divide each side by '-2'. a = 29 Simplifying a = 29
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