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Simplifying 7(a + -6) + 11 = 4(a + -4) Reorder the terms: 7(-6 + a) + 11 = 4(a + -4) (-6 * 7 + a * 7) + 11 = 4(a + -4) (-42 + 7a) + 11 = 4(a + -4) Reorder the terms: -42 + 11 + 7a = 4(a + -4) Combine like terms: -42 + 11 = -31 -31 + 7a = 4(a + -4) Reorder the terms: -31 + 7a = 4(-4 + a) -31 + 7a = (-4 * 4 + a * 4) -31 + 7a = (-16 + 4a) Solving -31 + 7a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -31 + 7a + -4a = -16 + 4a + -4a Combine like terms: 7a + -4a = 3a -31 + 3a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -31 + 3a = -16 + 0 -31 + 3a = -16 Add '31' to each side of the equation. -31 + 31 + 3a = -16 + 31 Combine like terms: -31 + 31 = 0 0 + 3a = -16 + 31 3a = -16 + 31 Combine like terms: -16 + 31 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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