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Simplifying 4(t + 4) = 6t + -4 Reorder the terms: 4(4 + t) = 6t + -4 (4 * 4 + t * 4) = 6t + -4 (16 + 4t) = 6t + -4 Reorder the terms: 16 + 4t = -4 + 6t Solving 16 + 4t = -4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 16 + 4t + -6t = -4 + 6t + -6t Combine like terms: 4t + -6t = -2t 16 + -2t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -2t = -4 + 0 16 + -2t = -4 Add '-16' to each side of the equation. 16 + -16 + -2t = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -2t = -4 + -16 -2t = -4 + -16 Combine like terms: -4 + -16 = -20 -2t = -20 Divide each side by '-2'. t = 10 Simplifying t = 10
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