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Simplifying 7(a + -7) * 24 = 3(a + -7) Reorder the terms: 7(-7 + a) * 24 = 3(a + -7) Reorder the terms for easier multiplication: 7 * 24(-7 + a) = 3(a + -7) Multiply 7 * 24 168(-7 + a) = 3(a + -7) (-7 * 168 + a * 168) = 3(a + -7) (-1176 + 168a) = 3(a + -7) Reorder the terms: -1176 + 168a = 3(-7 + a) -1176 + 168a = (-7 * 3 + a * 3) -1176 + 168a = (-21 + 3a) Solving -1176 + 168a = -21 + 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. -1176 + 168a + -3a = -21 + 3a + -3a Combine like terms: 168a + -3a = 165a -1176 + 165a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -1176 + 165a = -21 + 0 -1176 + 165a = -21 Add '1176' to each side of the equation. -1176 + 1176 + 165a = -21 + 1176 Combine like terms: -1176 + 1176 = 0 0 + 165a = -21 + 1176 165a = -21 + 1176 Combine like terms: -21 + 1176 = 1155 165a = 1155 Divide each side by '165'. a = 7 Simplifying a = 7
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