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Simplifying -4(t + -3) + -44 = 4(t + 2) Reorder the terms: -4(-3 + t) + -44 = 4(t + 2) (-3 * -4 + t * -4) + -44 = 4(t + 2) (12 + -4t) + -44 = 4(t + 2) Reorder the terms: 12 + -44 + -4t = 4(t + 2) Combine like terms: 12 + -44 = -32 -32 + -4t = 4(t + 2) Reorder the terms: -32 + -4t = 4(2 + t) -32 + -4t = (2 * 4 + t * 4) -32 + -4t = (8 + 4t) Solving -32 + -4t = 8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -32 + -4t + -4t = 8 + 4t + -4t Combine like terms: -4t + -4t = -8t -32 + -8t = 8 + 4t + -4t Combine like terms: 4t + -4t = 0 -32 + -8t = 8 + 0 -32 + -8t = 8 Add '32' to each side of the equation. -32 + 32 + -8t = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -8t = 8 + 32 -8t = 8 + 32 Combine like terms: 8 + 32 = 40 -8t = 40 Divide each side by '-8'. t = -5 Simplifying t = -5
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