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Simplifying 7(a + -5) + 19 = 3(a + -4) Reorder the terms: 7(-5 + a) + 19 = 3(a + -4) (-5 * 7 + a * 7) + 19 = 3(a + -4) (-35 + 7a) + 19 = 3(a + -4) Reorder the terms: -35 + 19 + 7a = 3(a + -4) Combine like terms: -35 + 19 = -16 -16 + 7a = 3(a + -4) Reorder the terms: -16 + 7a = 3(-4 + a) -16 + 7a = (-4 * 3 + a * 3) -16 + 7a = (-12 + 3a) Solving -16 + 7a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -16 + 7a + -3a = -12 + 3a + -3a Combine like terms: 7a + -3a = 4a -16 + 4a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + 4a = -12 + 0 -16 + 4a = -12 Add '16' to each side of the equation. -16 + 16 + 4a = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4a = -12 + 16 4a = -12 + 16 Combine like terms: -12 + 16 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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