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Simplifying 7(a + -7) + 13 = 4(a + -6) Reorder the terms: 7(-7 + a) + 13 = 4(a + -6) (-7 * 7 + a * 7) + 13 = 4(a + -6) (-49 + 7a) + 13 = 4(a + -6) Reorder the terms: -49 + 13 + 7a = 4(a + -6) Combine like terms: -49 + 13 = -36 -36 + 7a = 4(a + -6) Reorder the terms: -36 + 7a = 4(-6 + a) -36 + 7a = (-6 * 4 + a * 4) -36 + 7a = (-24 + 4a) Solving -36 + 7a = -24 + 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. -36 + 7a + -4a = -24 + 4a + -4a Combine like terms: 7a + -4a = 3a -36 + 3a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -36 + 3a = -24 + 0 -36 + 3a = -24 Add '36' to each side of the equation. -36 + 36 + 3a = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 3a = -24 + 36 3a = -24 + 36 Combine like terms: -24 + 36 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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