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Simplifying 4(a + -4) = 5 + -6(a + -7) Reorder the terms: 4(-4 + a) = 5 + -6(a + -7) (-4 * 4 + a * 4) = 5 + -6(a + -7) (-16 + 4a) = 5 + -6(a + -7) Reorder the terms: -16 + 4a = 5 + -6(-7 + a) -16 + 4a = 5 + (-7 * -6 + a * -6) -16 + 4a = 5 + (42 + -6a) Combine like terms: 5 + 42 = 47 -16 + 4a = 47 + -6a Solving -16 + 4a = 47 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -16 + 4a + 6a = 47 + -6a + 6a Combine like terms: 4a + 6a = 10a -16 + 10a = 47 + -6a + 6a Combine like terms: -6a + 6a = 0 -16 + 10a = 47 + 0 -16 + 10a = 47 Add '16' to each side of the equation. -16 + 16 + 10a = 47 + 16 Combine like terms: -16 + 16 = 0 0 + 10a = 47 + 16 10a = 47 + 16 Combine like terms: 47 + 16 = 63 10a = 63 Divide each side by '10'. a = 6.3 Simplifying a = 6.3
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