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Simplifying 7(a + -6) + 5 = 4(a + -7) Reorder the terms: 7(-6 + a) + 5 = 4(a + -7) (-6 * 7 + a * 7) + 5 = 4(a + -7) (-42 + 7a) + 5 = 4(a + -7) Reorder the terms: -42 + 5 + 7a = 4(a + -7) Combine like terms: -42 + 5 = -37 -37 + 7a = 4(a + -7) Reorder the terms: -37 + 7a = 4(-7 + a) -37 + 7a = (-7 * 4 + a * 4) -37 + 7a = (-28 + 4a) Solving -37 + 7a = -28 + 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. -37 + 7a + -4a = -28 + 4a + -4a Combine like terms: 7a + -4a = 3a -37 + 3a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -37 + 3a = -28 + 0 -37 + 3a = -28 Add '37' to each side of the equation. -37 + 37 + 3a = -28 + 37 Combine like terms: -37 + 37 = 0 0 + 3a = -28 + 37 3a = -28 + 37 Combine like terms: -28 + 37 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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