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Simplifying 7(a + -5) + 16 = 4(a + -4) Reorder the terms: 7(-5 + a) + 16 = 4(a + -4) (-5 * 7 + a * 7) + 16 = 4(a + -4) (-35 + 7a) + 16 = 4(a + -4) Reorder the terms: -35 + 16 + 7a = 4(a + -4) Combine like terms: -35 + 16 = -19 -19 + 7a = 4(a + -4) Reorder the terms: -19 + 7a = 4(-4 + a) -19 + 7a = (-4 * 4 + a * 4) -19 + 7a = (-16 + 4a) Solving -19 + 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. -19 + 7a + -4a = -16 + 4a + -4a Combine like terms: 7a + -4a = 3a -19 + 3a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -19 + 3a = -16 + 0 -19 + 3a = -16 Add '19' to each side of the equation. -19 + 19 + 3a = -16 + 19 Combine like terms: -19 + 19 = 0 0 + 3a = -16 + 19 3a = -16 + 19 Combine like terms: -16 + 19 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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